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Simplifying 5n + -1(7 + 2n) = 2(4 + n) + -4n 5n + (7 * -1 + 2n * -1) = 2(4 + n) + -4n 5n + (-7 + -2n) = 2(4 + n) + -4n Reorder the terms: -7 + 5n + -2n = 2(4 + n) + -4n Combine like terms: 5n + -2n = 3n -7 + 3n = 2(4 + n) + -4n -7 + 3n = (4 * 2 + n * 2) + -4n -7 + 3n = (8 + 2n) + -4n Combine like terms: 2n + -4n = -2n -7 + 3n = 8 + -2n Solving -7 + 3n = 8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -7 + 3n + 2n = 8 + -2n + 2n Combine like terms: 3n + 2n = 5n -7 + 5n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 -7 + 5n = 8 + 0 -7 + 5n = 8 Add '7' to each side of the equation. -7 + 7 + 5n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5n = 8 + 7 5n = 8 + 7 Combine like terms: 8 + 7 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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